Special Integral Operators: Poisson operatorsOkikiolu Scientific and Industrial Organization, 1980 - Integral operators |
Contents
CHAPTER | 1 |
CHAPTER | 3 |
PARAMETER INTEGRAL REPRESENTATIONS ESTIMATES INVOLVING | 349 |
Copyright | |
4 other sections not shown
Common terms and phrases
applying Fubini's theorem applying Minkowski's integral bounded linear operator change of variable CONJUGATE OPERATORS convergence theorem Appendix d/da defined in terms Definition derived by applying derived by letting derived by substituting derived on multiplying f in LP f in LP(R f(t+x fe LP finite constant follows by applying fractional integrals Fubini's theorem Appendix GO OKIKIOLU CHAPTER Hilbert operator Hilbert transform Hölder's inequality Appendix inequality Appendix 8.7 integral expression integral inequality Appendix integrating with respect ix.t L²(R Lebesgue convergence theorem Lebesgue measurable Let fe let the operator LP-estimates Maximal functions measurable function Minkowski's inequality Minkowski's integral inequality one-dimensional result operators defined Parameter Integral Parseval's identity Poisson and Conjugate POISSON OPERATORS Poisson transforms positive integer product formula real numbers representation results involving results of Appendix semi-group identities theorem Appendix 8.3 variable by substituting Young's inequality Appendix